- #1
boddhisattva
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Homework Statement
Let Z=2T/s + 1/3 + s/(30T) be the partition function of a quantum rotor at s/T->0. Show that
[itex]U=nk(T-s/6-s^2/(180T)[/itex]
Homework Equations
1/(1+x) = 1 -x
The Attempt at a Solution
[itex]U=-kT^2(\partial _{T} ln(Z) )[/itex]
Hence
[itex]U=-kT^2 [2/s - s/(30T^2)] / [ 2T/s + 1/3 + s/(30T) ][/itex]
I tried dividing upper and lower equation by 2T/s and use 1/(1+x) = 1 -x but cannot find the result.